An analytical study is made of the equilibrium and stability of tokamaks with an arbitrary cross section. The ideal hydromagnetic model is used. With inverse aspect-ratio expansion, the analytical expression of the equilibrium magnetic surface which is correct to the second order of the inverse aspect ratio is obtained as a function of the mean radius of the magnetic surface. The specific volume of the magnetic flux is obtained explicitly, and the stability against an interchange mode is discussed.
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Osami Okada (1976) studied this question.
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